Title of article :
Some new contractive mappings on S-metric spaces and their relationships with the mapping (S25)
Author/Authors :
Özgür, Nİhal Yilmaz Department of Mathematics - Balıkesir University, Balıkesir, Turkey , Taş, Nİhal Department of Mathematics - Balıkesir University, Balıkesir, Turkey
Abstract :
Recently, S-metric spaces are introduced as a generalization of metric spaces. In this paper, we consider the relationships between of an S-metric space and a metric space, and give an example of an S-metric which does not generate a metric. Then, we introduce new contractive mappings on S-metric spaces and investigate relationships among them by counterexamples. In addition, we obtain new fixed point theorems on S-metric spaces.
Keywords :
S-metric space , Fixed point theorem , Periodic , point Diameter
Journal title :
Mathematical Sciences
